### Table B.2: Selected notation of Isabelle/HOL

### Table 1. Lines of code in Isabelle/HOL, per language and file.

### Table 1. Lines of Isar proof code for different parts of the proof

2006

"... In PAGE 12: ... In total, the proof of the correctness of the transformation from automata to a PLC language contains approximately 1500 lines of proof code. Table1 shows the distribution of lines of proof code for the different parts of the proof. 5 Here, the Isabelle/HOL operator llparenthesis.... ..."

Cited by 1

### Table 1 HOL symbols

"... In PAGE 3: ... We selected the HOL theorem prover for the proposed formalization mainly because of its inherent soundness and ability to handle HOL, and in order to benefit from the built-in mathematical theories for measure and probability. Table1 summarizes some of the HOL symbols used in this paper and their corresponding mathematical interpretation [8]. 2.... ..."

### Table 5: HOL axioms

2004

"... In PAGE 16: ... The core of the system is rather small. It is built on 5 axioms ( Table5 ) and 8 rules of inference (Table 6). The HOL theorem prover uses an ASCII approximation (Table 7) to standard logic notation.... ..."

### Table 1: HOL Symbols

2007

"... In PAGE 5: ... We selected HOL theorem prover for the proposed formalization mainly because of its inherent soundness and ability to handle higher-order logic and in order to beneflt from the in- built mathematical theories for measure and probability. Table1 summarizes some frequently used HOL symbols in this report and their corresponding mathematical interpretation [10].... ..."

Cited by 1

### Table 1: HOL Symbols

2006

Cited by 2

### Table 4: Simpli cation versus Isabelle

"... In PAGE 25: ... What is more interesting here is the comparison with a standard interactive prover such as Isabelle [29]. This is shown in Table4 , where fast tac is the standard automatic tactic used in Isabelle, and ifip tac applies fast tac after a preprocessing step which exploit the format of the benchmark. The scaling factor for problems such as rip0x:be is more interesting than the absolute values.... ..."