We examine the relationship between proof and computation in mathematics, especially in formalized mathematics. We compare the various approaches to proofs with a significant computational component, including (i) verifying the algorithms, (ii) verifying the results of the unverified algorithms, and (iii) trusting an external computation
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
Formal verification involves the use of logical and computational methods to establish claims that a...
The aim of the paper is to study the role and features of proofs in mathematics. Formal and informal...
We examine the relationship between proof and computation in mathematics, especially in formalized m...
We examine the relationship between proof and computation in mathematics, especially in formal-ized ...
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
What is a proof for? What is the characteristic use of a proof as a computation, as opposed to its u...
This talk shall discuss the potential impact of formal methods, and in particular, of interactive th...
What is a proof for? What is the characteristic use of a proof as a computation, as opposed to its u...
none2What is a proof for? What is the characteristic use of a proof as a computation, as opposed to ...
20 ABSTRACT (Continued) Mechanical procedures for the manipulation of formal proofs have played a ce...
Today highly nontrivial mathematics is routinely being encoded in the computer, ensuring a reliabil-...
Formal methods for program verification, optimization, and synthesis rely on complex mathematical pr...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
As computers become a more prevalent commodity in mathematical research and mathematical proof, the ...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
Formal verification involves the use of logical and computational methods to establish claims that a...
The aim of the paper is to study the role and features of proofs in mathematics. Formal and informal...
We examine the relationship between proof and computation in mathematics, especially in formalized m...
We examine the relationship between proof and computation in mathematics, especially in formal-ized ...
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
What is a proof for? What is the characteristic use of a proof as a computation, as opposed to its u...
This talk shall discuss the potential impact of formal methods, and in particular, of interactive th...
What is a proof for? What is the characteristic use of a proof as a computation, as opposed to its u...
none2What is a proof for? What is the characteristic use of a proof as a computation, as opposed to ...
20 ABSTRACT (Continued) Mechanical procedures for the manipulation of formal proofs have played a ce...
Today highly nontrivial mathematics is routinely being encoded in the computer, ensuring a reliabil-...
Formal methods for program verification, optimization, and synthesis rely on complex mathematical pr...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
As computers become a more prevalent commodity in mathematical research and mathematical proof, the ...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
Formal verification involves the use of logical and computational methods to establish claims that a...
The aim of the paper is to study the role and features of proofs in mathematics. Formal and informal...
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