Add to ORKGMathematicians rarely present proofs in all their detail; usually they give just an outline or abstraction of the proof. This paper describes our attempt to reproduce such activity within a computer proof system.
It is well known that mathematical proofs often contain (abstract) algorithms, but although these al...
The article is an attempt at collecting and systematising views on the role and place of computers i...
Mechanised reasoning systems and computer algebra systems have apparentlydifferent objectives. Their...
Some knowledge of what it means to construct a proof is an extremely important part of mathematics. ...
As computers become a more prevalent commodity in mathematical research and mathematical proof, the ...
Today highly nontrivial mathematics is routinely being encoded in the computer, ensuring a reliabil-...
We demonstrate the use of abstraction in aiding the construction of an interesting and difficult exa...
In this paper I will discuss the fundamental ideas behind proof assistants: What are they and what i...
Abstract. We discuss a pragmatic approach tointegrate computer algebra into proof planning. It is ba...
We examine the relationship between proof and computation in mathematics, especially in formal-ized ...
We give an overview of issues surrounding computer-verified theorem proving in the standard pure-mat...
The Proofchecker is a heuristically oriented computer program for checking mathematical proofs, with...
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
This talk shall discuss the potential impact of formal methods, and in particular, of interactive th...
AbstractThis paper is an exercise in program construction using Mathematics as a tool. The program w...
It is well known that mathematical proofs often contain (abstract) algorithms, but although these al...
The article is an attempt at collecting and systematising views on the role and place of computers i...
Mechanised reasoning systems and computer algebra systems have apparentlydifferent objectives. Their...
Some knowledge of what it means to construct a proof is an extremely important part of mathematics. ...
As computers become a more prevalent commodity in mathematical research and mathematical proof, the ...
Today highly nontrivial mathematics is routinely being encoded in the computer, ensuring a reliabil-...
We demonstrate the use of abstraction in aiding the construction of an interesting and difficult exa...
In this paper I will discuss the fundamental ideas behind proof assistants: What are they and what i...
Abstract. We discuss a pragmatic approach tointegrate computer algebra into proof planning. It is ba...
We examine the relationship between proof and computation in mathematics, especially in formal-ized ...
We give an overview of issues surrounding computer-verified theorem proving in the standard pure-mat...
The Proofchecker is a heuristically oriented computer program for checking mathematical proofs, with...
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
This talk shall discuss the potential impact of formal methods, and in particular, of interactive th...
AbstractThis paper is an exercise in program construction using Mathematics as a tool. The program w...
It is well known that mathematical proofs often contain (abstract) algorithms, but although these al...
The article is an attempt at collecting and systematising views on the role and place of computers i...
Mechanised reasoning systems and computer algebra systems have apparentlydifferent objectives. Their...