International audienceComputer-generated proofs are typically analytic, i.e. they essentially consist only of formulas which are present in the theorem that is shown. In contrast, mathematical proofs written by humans almost never are: they are highly structured due to the use of lemmas. The ASCOP-project aims at developing algorithms and software which structure and abbreviate analytic proofs by computing useful lemmas. These algorithms will be based on recent groundbreaking results establishing a new connection between proof theory and formal language theory. This connection allows the application of e cient algorithms based on formal grammars to structure and compress proofs
The simulation of mathematical reasoning has been a driving force throughout the history of Artifici...
AbstractClassical automated theorem proving of today is based on ingenious search techniques to find...
ABSTRACT Finding ways to prove theorems mechanically was one of the earliest challenges tackled by t...
International audienceComputer-generated proofs are typically analytic, i.e. they essentially consis...
Today highly nontrivial mathematics is routinely being encoded in the computer, ensuring a reliabil-...
Since the work of Brouwer, Kolmogorov, Goedel, Kleene and many others we know that constructive proo...
. The paper addresses comprehensible proof presentation for teaching and learning that can be provid...
Proof structures in traditional automatic theorem proving systems are generally designed for ecientl...
The original publication is available at www.springerlink.comInternational audienceThe careful intro...
In this thesis we deal with the problem of automatic proving (or disproving) mathematical conjecture...
Supplementary Material: http://proceedings.mlr.press/v97/yang19a/yang19a-supp.pdf Code: https://git...
As the 21st century begins, the power of our magical new tool and partner, the computer, is increasi...
It is well-known that eliminating cuts from sequent calculus proofs frequently increases the size an...
In order to cope with large case studies arising from the application of formal methods in an indust...
Automated theorem provers (ATP) and proof assistants are among the developed sub-areas on automated ...
The simulation of mathematical reasoning has been a driving force throughout the history of Artifici...
AbstractClassical automated theorem proving of today is based on ingenious search techniques to find...
ABSTRACT Finding ways to prove theorems mechanically was one of the earliest challenges tackled by t...
International audienceComputer-generated proofs are typically analytic, i.e. they essentially consis...
Today highly nontrivial mathematics is routinely being encoded in the computer, ensuring a reliabil-...
Since the work of Brouwer, Kolmogorov, Goedel, Kleene and many others we know that constructive proo...
. The paper addresses comprehensible proof presentation for teaching and learning that can be provid...
Proof structures in traditional automatic theorem proving systems are generally designed for ecientl...
The original publication is available at www.springerlink.comInternational audienceThe careful intro...
In this thesis we deal with the problem of automatic proving (or disproving) mathematical conjecture...
Supplementary Material: http://proceedings.mlr.press/v97/yang19a/yang19a-supp.pdf Code: https://git...
As the 21st century begins, the power of our magical new tool and partner, the computer, is increasi...
It is well-known that eliminating cuts from sequent calculus proofs frequently increases the size an...
In order to cope with large case studies arising from the application of formal methods in an indust...
Automated theorem provers (ATP) and proof assistants are among the developed sub-areas on automated ...
The simulation of mathematical reasoning has been a driving force throughout the history of Artifici...
AbstractClassical automated theorem proving of today is based on ingenious search techniques to find...
ABSTRACT Finding ways to prove theorems mechanically was one of the earliest challenges tackled by t...