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Titlebook: Automated Reasoning; 8th International Jo Nicola Olivetti,Ashish Tiwari Conference proceedings 2016 Springer International Publishing Switz

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Interpolant Synthesis for Quadratic Polynomial Inequalities and Combination with ,). Using the framework proposed in [.] for combining interpolants for a combination of quantifier-free theories which have their own interpolation algorithms, a combination algorithm is given for the combined theory of concave quadratic polynomial inequalities and the equality theory over uninterpreted functions (.).
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Symmetries of Regular Polygons, is used in it is defined by some closed term of the theory. This allows for a very concrete, computationally-oriented interpretation. However, the development is not committed to such interpretation, and can easily be extended for handling stronger set theories, including . itself.
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https://doi.org/10.1007/978-3-540-87534-5we present an efficient and proof-producing congruence closure procedure that applies to every function in ITT no matter how many dependencies exist among its arguments, and that only relies on the commonly assumed . axiom. We demonstrate its usefulness by solving interesting verification problems involving functions with dependent types.
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Congruence Closure in Intensional Type Theorywe present an efficient and proof-producing congruence closure procedure that applies to every function in ITT no matter how many dependencies exist among its arguments, and that only relies on the commonly assumed . axiom. We demonstrate its usefulness by solving interesting verification problems involving functions with dependent types.
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Colors Make Theories Hard of .-solving, which is based on the novel concept of “.” for a theory ...As a proof of concept, we show the effectiveness and simplicity of this novel criterion by easily producing very simple proofs of the NP-hardness for many theories of interest for SMT, or of some of their fragments.
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0302-9743 oning, IJCAR 2016, held in Coimbra, Portugal, in June/July 2016. IJCAR 2014 was a merger of three leading events in automated reasoning, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems) and TABLEAUX (International Confe
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Proof of the Fundamental Theorem of Algebra,to prove metatheorems and experiment with variants. Compared with earlier SAT solver verifications, the main novelties are the inclusion of rules for forget, restart, and incremental solving and the application of refinement.
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