The notion of program verification appears to trade upon an equivocation. Algorithms, as logical structures, are appropriate subjects for deductive verification. Programs, as causal models of those structures, are not. The success of program verification as a generally applicable and completely reliable method for guaranteeing program performance is not even a theoretical possibility.

Verification and validation of numerical models of natural systems is impossible. This is because natural systems are never closed and because model results are always nonunique. Models can be confirmed by the demonstration of agreement between observation and prediction, but confirmation is inherently partial. Complete confirmation is logically precluded by the fallacy of affirming the consequent and by incomplete access to natural phenomena. Models can only be evaluated in relative terms, and their predictive value is always open to question. (...) The primary value of models is heuristic. (shrink)

Interactive theorem provers might seem particularly impractical in the history of philosophy. Journal articles in this discipline are generally not formalized. Interactive theorem provers involve a learning curve for which the payoffs might seem minimal. In this article I argue that interactive theorem provers have already demonstrated their potential as a useful tool for historians of philosophy; I do this by highlighting examples of work where this has already been done. Further, I argue that interactive theorem provers can continue to (...) be useful tools for historians of philosophy in the future; this claim is defended through a more conceptual analysis of what historians of philosophy do that identifies argument reconstruction as a core activity of such practitioners. It is then shown that interactive theorem provers can assist in this core practice by a description of what interactive theorem provers are and can do. If this is right, then computer verification for historians of philosophy is in the offing. (shrink)

The new phase of science evolution is characterized by totality of subject and object of cognition and technology (high-hume). As a result, forming of network structure in a disciplinary matrix modern are «human dimensional» natural sciences and two paradigmal «nuclei» (attraktors). As a result, the complication of structure of disciplinary matrix and forming a few paradigm nuclei in modern «human dimensional» natural sciences are observed. In the process of social verification integration of scientific theories into the existent system of (...) mental and valued options of spiritual culture takes place. The attribute of classical science – ethics neutrality of scientific knowledge becomes an unattainable ideal. One of the trends in the evolution of theoretical epistemology is the study of migration mechanisms of generation of scientific knowledge from the sphere of its own logic and methodology of science in the field of sociology - the consideration of this process, as the resulting system of interactions of social structures and institutions. Ensuing ideas and settings become the dominant worldview of philosophical and technological civilization. -/- . (shrink)

Various errors can affect scientific code and detecting them is a central concern within computational science. Could formal verification methods, which are now available tools, be widely adopted to guarantee the general reliability of scientific code? After discussing their benefits and drawbacks, we claim that, absent significant changes as regards features like their user-friendliness and versatility, these methods are unlikely to be adopted throughout computational science, beyond certain specific contexts for which they are well-suited. This issue exemplifies the epistemological (...) heterogeneity of computational science: profoundly different practices can be appropriate to meet the reliability challenge that rises for scientific code. (shrink)

The new phase of science evolution is characterized by totality of subject and object of cognition and technology (high-hume). As a result, forming of network structure in a disciplinary matrix modern are «human dimensional» natural sciences and two paradigmal «nuclei» (attraktors). As a result, the complication of structure of disciplinary matrix and forming a few paradigm nuclei in modern «human dimensional» natural sciences are observed. In the process of social verification integration of scientific theories into the existent system of (...) mental and valued options of spiritual culture takes place. The attribute of classical science – ethics neutrality of scientific knowledge becomes an unattainable ideal. One of the trends in the evolution of theoretical epistemology is the study of migration mechanisms of generation of scientific knowledge from the sphere of its own logic and methodology of science in the field of sociology - the consideration of this process, as the resulting system of interactions of social structures and institutions. Ensuing ideas and settings become the dominant worldview of philosophical and technological civilization. -/- . (shrink)

This paper investigates the strange case of an argument that was directed against a positivist verification principle. We find an early occurrence of the argument in a talk by the phenomenologist Roman Ingarden at the 1934 International Congress of Philosophy in Prague, where Carnap and Neurath were present and contributed short rejoinders. We discuss the underlying presuppositons of the argument, and we evaluate whether the attempts by Carnap (especially) actually succeed in answering this argument. We think they don’t, and (...) offer instead a few sociological thoughts about why the argument seems to have disappeared from the profession’s evaluaton of the positivist criterion of verifiability. (shrink)

This article explores some open questions related to the problem of verification of theories in the context of empirical sciences by contrasting three epistemological frameworks. Each of these epistemological frameworks is based on a corresponding central metaphor, namely: (a) Neo-empiricism and the gambling metaphor; (b) Popperian falsificationism and the scientific tribunal metaphor; (c) Cognitive constructivism and the object as eigen-solution metaphor. Each of one of these epistemological frameworks has also historically co-evolved with a certain statistical theory and method for (...) testing scientific hypotheses, respectively: (a) Decision theoretic Bayesian statistics and Bayes factors; (b) Frequentist statistics and p-values; (c) Constructive Bayesian statistics and e-values. This article examines with special care the Zero Probability Paradox (ZPP), related to the verification of sharp or precise hypotheses. Finally, this article makes some remarks on Lakatos’ view of mathematics as a quasi-empirical science. (shrink)

Compositional verification aims at managing the complexity of theverification process by exploiting compositionality of the systemarchitecture. In this paper we explore the use of a temporal epistemiclogic to formalize the process of verification of compositionalmulti-agent systems. The specification of a system, its properties andtheir proofs are of a compositional nature, and are formalized within acompositional temporal logic: Temporal Multi-Epistemic Logic. It isshown that compositional proofs are valid under certain conditions.Moreover, the possibility of incorporating default persistence ofinformation in a (...) system, is explored. A completion operation on aspecific type of temporal theories, temporal completion, is introducedto be able to use classical proof techniques in verification withrespect to non-classical semantics covering default persistence. (shrink)

The new phase of science evolution is characterized by totality of subject and object of cognition and technology (high-hume). As a result, forming of network structure in a disciplinary matrix modern are «human dimensional» natural sciences and two paradigmal «nuclei» (attraktors). As a result, the complication of structure of disciplinary matrix and forming a few paradigm nuclei in modern «human dimensional» natural sciences are observed.

‘Trust but verify’ is a translation of a Russian proverb made famous by former US President Ronald Reagan. In their paper, Grahamet alappear to take an alternate view that might be summarised astrust or verify. The contrast highlights a general question: how do we come to trust in authorities? More specifically, Grahamet alclaim: (1) that UK Trusted Research Environments (TREs) are misnamed as future custodians for big health data because their promised verification systems actually negate the uncertainty that trust (...) requires; (2) the public is mistaken if it believes such verification enhances trust; (3) the notion of building public trust in TREs is unclear or misconceived. In response, I propose a more relational, perhaps less reductionist account. I argue (1) that verification is itself a source of uncertainty, so it can’t extinguish the uncertainty needed for trust; (2) it’s nevertheless possible for verification to enhance feelings of trust thereby reducing our needs for the same; (3) trust is also social, even political, meaning institutions like TREs may become too big to fail—and end up shielding their ‘trusted’ brand by being less candid about inevitable flaws in their verification systems. (shrink)

In this paper I attempt to cast the current program verification debate within a more general perspective on the methodologies and goals of computer science. I show, first, how any method involved in demonstrating the correctness of a physically executing computer program, whether by testing or formal verification, involves reasoning that is defeasible in nature. Then, through a delineation of the senses in which programs can be run as tests, I show that the activities of testing and formal (...) verification do not necessarily share the same goals and thus do not always constitute alternatives. The testing of a program is not always intended to demonstrate a program's correctness. Testing may seek to accept or reject nonprograms including algorithms, specifications, and hypotheses regarding phenomena. The relationship between these kinds of testing and formal verification is couched in a more fundamental relationship between two views of computer science, one properly containing the other. (shrink)

Abstract The work of Martin Buber oscillates between talk in which transcendence is experienced and talk in which transcendence is merely postulated. In order to show and mend this incoherence in Buber's thought, this essay attends to the rhetoric of verification ( Bewährung ), primarily but not solely in I and Thou (1923), both in order to show how it is a symptom of this incoherence, and also to show a broad pragmatic strain in Buber's thought. Given this pragmatic (...) strain, the essay argues that a weak notion of Buberian verification, in which taking a dialogic stance with reference to others evinces the right to talk of the real possibility of transcendence (a You-world, or God as the “eternal You“), is all that is necessary to combat despair. Strong notions of encounter are unnecessary, and also sink Buber in a morass of theodicy, in which he interprets historical misfortune and destruction as evidence of history's meaning. (shrink)

Various errors can affect scientific code and detecting them is a central concern within computational science. Could formal verification methods, which are now available tools, be widely adopted to guarantee the general reliability of scientific code? After discussing their benefits and drawbacks, we claim that, absent significant changes as regards features like their user-friendliness and versatility, these methods are unlikely to be adopted throughout computational science, beyond certain specific contexts for which they are well-suited. This issue exemplifies the epistemological (...) heterogeneity of computational science: profoundly different practices can be appropriate to meet the reliability challenge that rises for scientific code. (shrink)

Every person has his/her own unique signature that is used mainly for the purposes of personal identification and verification of important documents or legal transactions. There are two kinds of signature verification: static and dynamic. Static(off-line) verification is the process of verifying an electronic or document signature after it has been made, while dynamic(on-line) verification takes place as a person creates his/her signature on a digital tablet or a similar device. Offline signature verification is not (...) efficient and slow for a large number of documents. To overcome the drawbacks of offline signature verification, we have seen a growth in online biometric personal verification such as fingerprints, eye scan etc. In this paper we created CNN model using python for offline signature and after training and validating, the accuracy of testing was 99.70%. (shrink)

The likelihood principle is typically understood as a constraint on any measure of evidence arising from a statistical experiment. It is not sufficiently often noted, however, that the LP assumes that the probability model giving rise to a particular concrete data set must be statistically adequate—it must “fit” the data sufficiently. In practice, though, scientists must make modeling assumptions whose adequacy can nevertheless then be verified using statistical tests. My present concern is to consider whether the LP applies to these (...) techniques of model verification. If one does view model verification as part of the inferential procedures that the LP intends to constrain, then there are certain crucial tests of model verification that no known method satisfying the LP can perform. But if one does not, the degree to which these assumptions have been verified is bracketed from the evidential evaluation under the LP. Although I conclude from this that the LP cannot be a universal constraint on any measure of evidence, proponents of the LP may hold out for a restricted version thereof, either as a kind of “ideal” or as defining one among many different forms of evidence. (shrink)

It has been argued that the Duhem problem is renewed with computational models since model assumptions having a representational aim and computational assumptions cannot be tested in isolation. In particular, while the Verification and Validation methodology is supposed to prevent such holism, Winsberg argues that verification and validation cannot be separated in practice. Morrison replies that Winsberg overstates the entanglement between the steps. The paper aims at arbitrating these two positions, by stressing their respective validity in relation to (...) domains of application. It importantly argues for an increasing use of formal methods in verification, that makes disentanglement possible. (shrink)

The world in which we find ourselves is religiously ambiguous. It is possible for different people to experience it both religiously and non-religiously; and to hold beliefs which arise from and feed into each of these ways of experiencing. A religious man may report that in moments of prayer he is conscious of existing in the unseen presence of God, and is aware - sometimes at least - that his whole life and the entire history of the world is taking (...) place within the ambience of the divine purpose. But on the other hand the majority of people in our modern world do not participate in that form of experience and are instead conscious of their own and others' lives as purely natural phenomena, so that their own experience leads them at least implicitly to reject the idea of a transcendent divine presence and purpose. If they are philosophically minded, they may well think that the believer's talk is the expression of what Richard Hare has called a blik , a way of feeling and thinking about the world which expresses itself in pseudo-assertions, pseudo because they are neither verifiable nor falsifiable and are therefore factually empty. 1 The religious man speaks of God as a living reality in whose presence we are, and of a divine purpose which gives ultimate meaning to our lives. But is not the world the same whether or not we suppose it to exist in God's presence; and is not the course of history the same whether or not we describe it as fulfilling God's purposes? Is not the religious description thus merely a gratuitous embellishment, a logical fifth wheel, an optional language-game which may assuage some psychological need of the speaker but which involves no claims of substance concerning the objective nature or structure of the universe? Must not the central religious use of language then be accounted a non-cognitive use, whose function is not to assert alleged facts but to express a speaker's, or a community of speakers', emotions within the framework of a factually contentless blik , ‘slant’, or ‘onlook’? (shrink)

The paper deals with the conception of logical empiricism developed by Eino Kaila. Eino Kaila, being a thinker close to the Vienna Circle, departs from some of the central ideas of logical positivism. He identifies a limited number of problems in metaphysics that are meaningful and need to be solved, but he declares the rest of metaphysics to be a logical fallacy. For Eino Kaila, it is not the principle of verification (as a criterion of meaning) but the principle (...) of testability that plays the most important role. In addition, he revises the principle of translatability, insisting that it is impossible to translate a single sentence into the language of experience, but it is possible to translate the whole theory to which the sentence belongs. This is related to his structuralist position in the philosophy of science and his understanding of scientific theories as ‘rationalisations’ as opposed to simple inductive generalisations. The paper compares Eino Kaila’s views expressed during the period of his active interaction with the Vienna Circle be regarded as a predecessor of later critics of logical positivism (in particular, W.V.O. Quine). (shrink)

The main result of this paper is that KT is closed under a cancellation principle. This result extends to KTG1, but it does not extend to modal systems associated with the provability interpretation of L, such as KW and KT4Grz. Following Williamson, these results are applied to philosophical concerns about the proper form for theories of meaning, via the interpretation of L as some kind of veriflability. The cancellation principle can then be read as saying that verifilability conditions and falsiflability (...) conditions jointly determine truth conditions. (shrink)

The vision of machines autonomously carrying out substantive conjecture generation, theorem discovery, proof discovery, and proof verification in mathematics and the natural sciences has a long history that reaches back before the development of automatic systems designed for such processes. While there has been considerable progress in proof verification in the formal sciences, for instance the Mizar project’ and the four-color theorem, now machine verified, there has been scant such work carried out in the realm of the natural (...) sciences—until recently. The delay in the case of the natural sciences can be attributed to both a lack of formal analysis of the so-called “theories” in such sciences, and the lack of sufficient progress in automated theorem proving. While the lack of analysis is probably due to an inclination toward informality and empiricism on the part of nearly all of the relevant scientists, the lack of progress is to be expected, given the computational hardness of automated theorem proving; after all, theoremhood in even first-order logic is Turing-undecidable. We give in the present short paper a compressed report on our building upon these formal theories using logic-based AI in order to achieve, in relativity, both machine proof discovery and proof verification, for theorems previously established by humans. Our report is intended to serve as a springboard to machine-produced results in the future that have not been obtained by humans. (shrink)

Source domain verification has not received as much attention as criteria for metaphor identification in the study of conceptual metaphor. In this paper, we provide a replicable approach to source...

In 2018 the World Heath Organization decided to re-examine the classification of gender identity disorder and exclude it from being defined as a mental illness. This re-examination means that sex a...

First published in 1966. Professor Dryer has furnished a highly illuminating account of Kant’s _Critique of Pure Reason _by unfolding its central argument. _Kant’s Solution for Verification in Metaphysics _brings out the light which Kant has to throw on central topics of philosophy. It takes its place as an indispensable guide to every student of the _Critique of Pure Reason. _.

Our starting point is Michael Luntley's falsificationist semantics for the logical connectives and quantifiers: the details of his account are criticised but we provide an alternative falsificationist semantics that yields intuitionist logic, as Luntley surmises such a semantics ought. Next an account of the logical connectives and quantifiers that combines verificationist and falsificationist perspectives is proposed and evaluated. While the logic is again intuitionist there is, somewhat surprisingly, an unavoidable asymmetry between the verification and falsification conditions for negation, the (...) conditional, and the universal quantifier. Lastly we are lead to a novel characterization of realism. (shrink)

(1) It remains to be seen if in the field of Psychiatry just as in that of Psychology the verbal output of a subject can be submitted to verification. Many statements of a highly emotional character being merely symptoms of certain dispositions have no direct communicative sense at all.(2) It being one of the characteristics of the mentally ill to loose contact and exchange of ideas with other people, the question naturally suggests itself if this symptom may be at (...) the bottom of the phenomenon of these persons taking refuge in logical and ideological terminologies, their talk being a kind of verbal autism. (shrink)

Based on the historical case of galvanic experimentation in Germany, I identify five types of experimentation which explored and shaped the new phenomenon rather than tested theoretical predictions. Verification evaluated initial reports of Galvani's phenomenon. Simplification reduced the experimental protocol to the fewest and most basic steps. Optimization found experimental conditions that magnified the observed effect. Exploration tested a wide variety of metals, animals or configurations. Application modified the experiment to address unresolved related problems. Attempts to derive laws of (...) the phenomenon or establish its underlying causes were unsuccessful primarily due to the great variability of the experimental results. (shrink)

Vardi, M.Y., Verification of concurrent programs: the automata-theoretic framework, Annals of Pure and Applied Logic 51 79–98. We present an automata-theoretic framework to the verification of concurrent and nondeterministic programs. The basic idea is that to verify that a program P is correct one writes a program A that receives the computation of P as input and diverges only on incorrect computations of P. Now P is correct if and only if a program PA, obtained by combining P (...) and A, terminates. We formalize this idea in a framework of ω-automata with a recursive set of states. This unifies previous works on verification of fair termination and verification of temporal properties. (shrink)

Theorem 1 states a negative result about the classical semantics j= ! of program schemes. Theorem 2 investigates the reason for this. We conclude that Theorem 2 justies the Henkin-type semantics j= for which the opposite of the present Theorem 1 was proved in [1]{[3] and also in a dierent form in part III of [5]. The strongest positive result on j= is Corollary 6 in [3].