AbstractWe present strategies and heuristics underlying a search procedure that finds proofs for Gödel’s incompleteness theorems at an abstract axiomatic level. As axioms we take for granted the representability and derivability conditions for the central syntactic notions as well as the diagonal lemma for constructing self-referential sentences. The strategies are logical ones and have been developed to search for natural deduction proofs in classical first-order logic. The heuristics are mostly of a very general mathematical character and are concerned with the goal-directed use of definitions and lemmata. When they are specific to the meta-mathematical context, these heuristics allow us, for example, to move between the object- and meta-...
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines th...
Codatatypes are absent from many programming languages and proof assistants. We make a case for thei...
We implement natural deduction for first order minimal logic in Agda, and verify minimal logic proof...
Gödel's incompleteness theorems establish the stunning result that mathematics cannot be fully forma...
We present an abstract development of Gödel’s incompleteness theorems, performed with the help of th...
We present an abstract development of Gödel’s incompleteness theorems, performed with the help of th...
We present an abstract development of Gödel’s incompleteness theorems, performed with the help of th...
Gödel’s incompleteness theorems establish the stunning result that mathematics cannot be fully form...
Abstract. We investigate the frontline of Gödel’s incompleteness theorems ’ proofs and the links wi...
We give a survey of current research on G\"{o}del's incompleteness theorems from the following three...
The workshop on proof theory took place in Vichy at the Pôle Universitaire de Vichy on 25 June 2018....
Gödel’s incompleteness theorems establish the stunning result that mathematics cannot be fully form...
International audienceThis paper is part of a general project of developing a sys- tematic and algeb...
AbstractFull first-order linear logic can be presented as an abstract logic programming language in ...
The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”)...
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines th...
Codatatypes are absent from many programming languages and proof assistants. We make a case for thei...
We implement natural deduction for first order minimal logic in Agda, and verify minimal logic proof...
Gödel's incompleteness theorems establish the stunning result that mathematics cannot be fully forma...
We present an abstract development of Gödel’s incompleteness theorems, performed with the help of th...
We present an abstract development of Gödel’s incompleteness theorems, performed with the help of th...
We present an abstract development of Gödel’s incompleteness theorems, performed with the help of th...
Gödel’s incompleteness theorems establish the stunning result that mathematics cannot be fully form...
Abstract. We investigate the frontline of Gödel’s incompleteness theorems ’ proofs and the links wi...
We give a survey of current research on G\"{o}del's incompleteness theorems from the following three...
The workshop on proof theory took place in Vichy at the Pôle Universitaire de Vichy on 25 June 2018....
Gödel’s incompleteness theorems establish the stunning result that mathematics cannot be fully form...
International audienceThis paper is part of a general project of developing a sys- tematic and algeb...
AbstractFull first-order linear logic can be presented as an abstract logic programming language in ...
The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”)...
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines th...
Codatatypes are absent from many programming languages and proof assistants. We make a case for thei...
We implement natural deduction for first order minimal logic in Agda, and verify minimal logic proof...