Superposition and First-Order theorem proving
Automated Theorem Proving with Extensions of First-Order Logic
... of first-order theorem provers might be ...in first- order logic in a way that is efficient for automated ...on first-order provers, such as program verification tools and ...
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Theorem recycling for Theorem Proving
... In this paper we examine two cases where solutions to one system of constraints can be used or adapted to solutions to others, for free. We first revisit a method by Bromberger for lifting solutions to systems ...
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Kolmogorov superposition theorem and its applications
... function. First, divide the unit cube I n into disjoint sub-cubes and then shift the sub-cubes along some vectors a certain amount of times such that every point in I n is covered several times by the union of all ...
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Symmetric Temporal Theorem Proving
... we first present a naive GuessedLoopTemplate algo- rithm that enumerates possible loop templates that follow from the current loop template obtained by the GroupFormulae .... First, it can potentially ...
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Cryptographically Sound Theorem Proving
... In our second formalization, called the term-based BPW model, we address these prob- lems by replacing the pointer-like messages with a simple inductive data type of messages. Since the new representation eliminates ...
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The PIE Environment for First-Order-Based Proving, Interpolating and Eliminating
... automated first-order theorem proving techniques, in examples, experiments, benchmarks, and as background machinery in other ...applying first-order proving techniques is ...
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The complexity of theorem proving in autoepistemic logic
... There are two measures which are of primary interest in proof complexity. The first is the minimal size of an f-proof for some given element x ∈ L. To make this precise, let s ∗ f (x) = min{|w| | f (w) = x} and s ...
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Theorem Proving for Maude's Rewriting Logic
... one first attempts to prove the statement hR, t 0 i ` ind 2ϕ automatically, using induction, rewriting, and decision ...must first be proved as (recursively) described ...
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CiteSeerX — The Philosophy of Automated Theorem Proving
... It has been incorporated into T H I N K E R with some considerable success for standard modal systems. Of course, to use the semantic method correctly one must know what the correct underlying logic of the abstract ...
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Deductive Program Analysis with First-Order Theorem Provers
... Automated theorem provers can be used to reason about all sorts of mathematical questions, and they are particularly well suited to problems of program verification, which often require proving a very large ...
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Separation logic + superposition calculus = heap theorem prover
... automated theorem prover for checking validity of entailments between separation logic formu- las with list segment ...Our theorem prover integrates sep- aration logic inference rules that deal with list ...
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leanCoP: lean connection-based theorem proving
... yields an astonishing performance, in particular for Horn problems without equality. We ran leanCoP on a subset of the TPTP library and compared its performance with the resolution-based prover O TTER , the ...
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CiteSeerX — Automated theorem proving in loop theory
... the first to use automated theorem provers in loop theory and, in fact, one of the first noneasy results in mathematics obtained ...The theorem says that a quasigroup satisfying any one of the ...
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Applications of real number theorem proving in PVS
... of theorem proving for industrial applications is now ...higher order theorem provers in particular is very much a task for ...a theorem prover, is a sep- arate ...the first to ...
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The complexity of theorem proving in circumscription and minimal entailment
... 1 Introduction Circumscription is one of the main formalisms for non-monotonic reasoning. It uses reasoning with minimal models, the key idea being that minimal models have as few exceptions as possible. Therefore ...
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The Road from Software Testing to Theorem Proving
... • “Necessary Low-Level Software Requirements” (ref DO-178C): It is a requirements traceability problem. First, you need to formalize all high-level and low-level software requirements. Second, you need to find ...
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Data Model Verification via Theorem Proving
... In order to isolate the effect of the axioms on the overall deduction process, we also verified all actions using the conjecture ...the theorem prover handles coexecution vs sequential execution of nested ...
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Computational Thinking: Students On Proving Geometry Theorem
... at first NS could not determine where the process of verification / not yet know the concept to be used, after deciphering the triangle into small parts the NS triangle ...
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Another Look at Automated Theorem-Proving. II
... The expansion of the original proof from a paragraph or two to several thousand lines of computer output is remarkable. Can one find anything similar in the history of mathematical proofs? There is one striking analogy ...
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Introduction to Automated Theorem Proving. Tudor Jebelean
... This theorem shows the remarkable fact that for proving in first order logic it is enough to reason about ground ...The theorem also suggests a procedure for proving: we ...
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