An encoding of the λ-calculus in the String MultiSet Rewriting calculus

被引:0
作者
Bagossy, Attila [1 ]
Battyanyi, Peter [1 ]
机构
[1] Univ Debrecen, Fac Informat, Dept Comp Sci, Debrecen, Hungary
关键词
Computational mechanics - Differentiation (calculus) - Encoding (symbols);
D O I
10.1007/s00236-024-00456-w
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we present an encoding of the lambda-calculus in a multiset rewriting system andprovide a few applications of the construction. For this purpose, we choose the calculusnamed String MultiSet Rewriting, which was introduced in Barbuti et al. (Electron NotesTheor Comput Sci 194:19-34, 2008) by Barbuti et al. With the help of our encoding, we givealternative proofs for the standardization and the finiteness of developments theorems in the lambda-calculus.
引用
收藏
页码:161 / 181
页数:21
相关论文
共 21 条
[1]  
Amadio R., 1998, CAMBRIDGE TRACTS THE, V46, DOI DOI 10.1017/CBO9780511983504
[2]   Principles of Chemical Programming [J].
Banatre, Jean-Pierre ;
Fradet, Pascal ;
Radenac, Yann .
ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, 2005, 124 (01) :133-147
[3]  
Barbuti R, 2006, FUND INFORM, V72, P21
[4]   An Intermediate Language for the Simulation of Biological Systems [J].
Barbuti, Roberto ;
Caravagna, Giulio ;
Maggiolo-Schettini, Andrea ;
Milazzo, Paolo .
ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, 2008, 194 (03) :19-34
[5]  
Barendregt Hendrik Pieter, 1985, Studies in logic and the foundations of mathematics, V103
[6]   AN ESTIMATION FOR THE LENGTHS OF REDUCTION SEQUENCES OF THE λμρθ-CALCULUS [J].
Battyanyi, Peter ;
Nour, Karim .
LOGICAL METHODS IN COMPUTER SCIENCE, 2018, 14 (02)
[7]  
Boudol G., 1999, Mathematical Structures in Computer Science, V9, P437, DOI 10.1017/S0960129599002893
[8]  
Cardelli L., 2005, LECT NOTES COMPUTER, V3082
[9]  
Cervesato I., 1994, PETRI NETS MUL UNPUB
[10]  
Ciobanu G, 2015, COMPLEX INTELL SYST, V1, P69, DOI 10.1007/s40747-015-0003-3