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2020 – today
- 2021
[j10]Rob Arthan, Paulo Oliva:
On the Borel-Cantelli Lemmas, the Erdős-Rényi Theorem, and the Kochen-Stone Theorem. J. Log. Anal. 13 (2021)- [j9]Rob Arthan, Paulo Oliva:
Double Negation Semantics for Generalisations of Heyting Algebras. Stud Logica 109(2): 341-365 (2021)
2010 – 2019
- 2019
- [i8]Rob Arthan, Paulo Oliva:
Studying Algebraic Structures using Prover9 and Mace4. CoRR abs/1908.06479 (2019) - [i7]Rob Arthan, Paulo Oliva:
Negative Translations for Affine and Lukasiewicz Logic. CoRR abs/1912.00012 (2019) - 2018
- [i6]Rob Arthan, Paulo Oliva:
A Curry-Howard Correspondence for the Minimal Fragment of Łukasiewicz Logic. CoRR abs/1809.04492 (2018) - 2016
- [j8]Rob Arthan:
On Definitions of Constants and Types in HOL. J. Autom. Reason. 56(3): 205-219 (2016) - [j7]Ramana Kumar, Rob Arthan, Magnus O. Myreen, Scott Owens
:
Self-Formalisation of Higher-Order Logic - Semantics, Soundness, and a Verified Implementation. J. Autom. Reason. 56(3): 221-259 (2016) - [j6]Yuhui Lin, Gudmund Grov, Rob Arthan:
Understanding and maintaining tactics graphically OR how we are learning that a diagram can be worth more than 10K LoC. J. Formaliz. Reason. 9(2): 69-130 (2016) - [i5]Yuhui Lin, Gudmund Grov, Rob Arthan:
Understanding and maintaining tactics graphically OR how we learned that a diagram can be worth more than 10K LoC. CoRR abs/1610.05593 (2016) - 2014
- [c16]Ramana Kumar, Rob Arthan, Magnus O. Myreen, Scott Owens:
HOL with Definitions: Semantics, Soundness, and a Verified Implementation. ITP 2014: 308-324 - [c15]Rob Arthan:
HOL Constant Definition Done Right. ITP 2014: 531-536 - [i4]Rob Arthan, Paulo Oliva:
On Affine Logic and Łukasiewicz Logic. CoRR abs/1404.0570 (2014) - [i3]Rob Arthan, Paulo Oliva:
On Pocrims and Hoops. CoRR abs/1404.0816 (2014) - 2013
- [j5]Rob Arthan, Ursula Martin, Paulo Oliva:
A Hoare logic for linear systems. Formal Aspects Comput. 25(3): 345-363 (2013) - [c14]Rob Arthan, Paulo Oliva:
(Dual) Hoops Have Unique Halving. Automated Reasoning and Mathematics 2013: 165-180 - 2012
- [j4]Robert Solovay, R. D. Arthan, John Harrison:
Some new results on decidability for elementary algebra and geometry. Ann. Pure Appl. Log. 163(12): 1765-1802 (2012) - [j3]R. D. Arthan:
Aronszajn's Criterion for Euclidean Space. Am. Math. Mon. 119(5): 419-422 (2012) - [i2]Rob Arthan, Paulo Oliva:
(Dual) Hoops Have Unique Halving. CoRR abs/1203.0436 (2012) - 2011
- [c13]Vladimir Klebanov, Peter Müller, Natarajan Shankar, Gary T. Leavens, Valentin Wüstholz, Eyad Alkassar, Rob Arthan, Derek Bronish, Rod Chapman, Ernie Cohen, Mark A. Hillebrand, Bart Jacobs, K. Rustan M. Leino, Rosemary Monahan, Frank Piessens, Nadia Polikarpova, Tom Ridge, Jan Smans, Stephan Tobies, Thomas Tuerk, Mattias Ulbrich, Benjamin Weiß:
The 1st Verified Software Competition: Experience Report. FM 2011: 154-168 - 2010
- [c12]R. D. Arthan:
Building a Library of Mechanized Mathematical Proofs: Why Do It? and What Is It Like to Do? ICMS 2010: 148
2000 – 2009
- 2009
- [j2]Rob Arthan, Ursula Martin, Erik Arne Mathiesen, Paulo Oliva:
A general framework for sound and complete Floyd-Hoare logics. ACM Trans. Comput. Log. 11(1): 7:1-7:31 (2009) - [c11]Rob Arthan:
Computational Logic and Continuous Mathematics, Pure and Applied. Calculemus/MKM 2009: 1 - 2008
- [c10]Rob Arthan:
Mechanized Reasoning for Continuous Problem Domains (Invited Talk). PAAR/ESHOL 2008 - [i1]Rob Arthan, Ursula Martin, Erik Arne Mathiesen, Paulo Oliva:
A General Framework for Sound and Complete Floyd-Hoare Logics. CoRR abs/0807.1016 (2008) - 2006
- [c9]R. D. Arthan:
A Verified Formal Model of a VC Generator. SEW 2006: 263-271 - [p1]John Harrison, Konrad Slind, Rob Arthan:
HOL. The Seventeen Provers of the World 2006: 11-19 - 2001
- [c8]R. D. Arthan:
An Irrational Construction of R from Z. TPHOLs 2001: 43-58 - 2000
- [c7]R. D. Arthan, P. Caseley, Colin O'Halloran, Alf Smith:
ClawZ: Control Laws in Z. ICFEM 2000: 169-176 - [c6]R. D. Arthan:
Analysis of Compiled Code: A Prototype Formal Model. ZB 2000: 433-449
1990 – 1999
- 1998
- [c5]R. D. Arthan:
Recursive Definitions in Z. ZUM 1998: 154-171 - 1997
- [j1]Colin O'Halloran, R. D. Arthan, D. King:
Using a Formal Specification Contractually. Formal Aspects Comput. 9(4): 349-358 (1997) - 1991
- [c4]R. D. Arthan:
On Formal Specification of a Proof Tool. VDM Europe (1) 1991: 356-370 - [c3]R. D. Arthan:
A Report on ICL HOL. TPHOLs 1991: 280-283 - [c2]R. D. Arthan:
On Free Type Definitions in Z. Z User Workshop 1991: 40-58
1980 – 1989
- 1988
- [c1]R. D. Arthan:
Compiler Prototyping with VDM and Standard ML. VDM Europe 1988: 101-115
Coauthor Index
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