Proof Theory

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Structural proof theory - In mathematical logic, structural proof theory is the subdiscipline of proof theory that studies proof calculi that support a notion of analytic proof.

Proof theory - Proof theory, studied as a branch of mathematical logic, represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures, such as plain lists, boxed lists, or trees, which are constructed according to ...

Proof net - In proof theory, proof nets are a geometrical method of representing proofs that eliminates irrelevant syntactical features of regular proof calculi such as the natural deduction calculus and the sequent calculus; by this means the formal properties of proof identity correspond more closely to ...

Analytic proof - In structural proof theory, an analytical proof is a proof whose structure is simple in a special way. The term does not admit an uncontroversial definition, but for several proof calculi there is an accepted notion of analytic proof.

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Proof Theory as an Alternative to Model Theory - Short article by Dale Miller, arguing that logic programming languages should base their semantics on proof theory, not model theory.

Logic of programming - The "Logic of Programming" research team is interested in proof theory and its relations with theoretical computer science. The main topic is mathematical interpretation of proofs : nets (proof = graph), denotational semantics (proof = function), and game semantics (proof = strategy). Two realisations of this working programm are Linear Logic and Ludics.

ProofTheory.ORG - Basic material on proof theory and the home page of the only mailing list devoted to proof theory, with hundreds of experts.

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Computability Theory -   Computability Theory Theory of Computational Complexity by Ding-Zhu Du, A complete treatment of fundamentals and recent advances in complexity ...

Combinatorial Proof -   Combinatorial Proof Mathematical Thinking: Problem-Solving and Proofs by John P. D'Angelo, This survey of both discrete and continuous mathematics focuses on "the logical ...

Binomial Proof Theorem -   Binomial Proof Theorem Ramsey Theory In 1987 Saharon Shelah was shown van der Waerden’ s Theorem, a cornerstone of Ramsey Theory, and ...

Creationism Proof -   Creationism Proof Creation Vs. Evolution by Ralph O. Muncaster, Darwin shocked the world with his evolution theory and belief that fossils would provide the proof. God Exists: New Light on Science and Creation by ...

Creationism Proof -   Creationism Proof Creation Vs. Evolution by Ralph O. Muncaster, Darwin shocked the world with his evolution theory and belief that fossils would provide the proof. God Exists: New Light on Science and Creation by ...

Creationism Proof -   Creationism Proof Creation Vs. Evolution by Ralph O. Muncaster, Darwin shocked the world with his evolution theory and belief that fossils would provide the proof. God Exists: New Light on Science and Creation by ...

Proof Subset -   Proof Subset Eigenvalues, Inequalities, and Ergodic Theory A problem of broad interest - the estimation of the spectral gap for matrices or differential operators (Markov chains ... some approaches that have, up till now, only appeared largely in the Chinese literature. Eigenvalues, Inequalities and Ergodic Theory serves as an introduction to this developing field, and provides an overview of the methods used in ...

Creationism Proof -   Creationism Proof Creation Vs. Evolution by Ralph O. Muncaster, Darwin shocked the world with his evolution theory and belief that fossils would provide the proof. God Exists: New Light on Science and Creation by ...